Answer:
Figures are objects that have the same shape, but may have different sizes.
Similar figures are figures that have the same shape but different sizes, with corresponding angles equal and side lengths proportional. This mathematical concept can be applied to many real-world and artistic comparisons.
The definition of similar figures in mathematics is that they are figures that have the same shape but may differ in size. This means that corresponding angles of similar figures are equal, and the lengths of corresponding sides are proportional. For example, all circles are similar to each other since they all have the same shape, regardless of their diameter. A real-world example can be seen when comparing photographs of objects that are the same shape but different sizes, such as a large elephant and a small toy elephant. Despite the size difference, if both are scaled versions of each other, they are considered similar figures.
The concept of similarity extends to various fields and contexts. In art analysis, similar figures may refer to recurring shapes or themes within artworks. An understanding of figure-ground perception, as seen in optical illusions like a vase or two faces, also plays on the concept of recognizing similar shapes within different contexts.
The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.
What would be the cost for 5 of the gift cards?
$80
$90
$100
$110
Answer:
$100
Step-by-step explanation:
We can see from the graph that the rate of change is $20. This is because for every increase in x, the value of y increases by $20.
Going from this, the value at x=4 is $80; this will make the value at x=5
80+20 = 100.
Answer:
The answer is C 100
Step-by-step explanation:
A package of shredded cheese contains 2 cups. If each mini-pizza is topped exactly with the same amount of cheese, how many mini-pizzas can be made from one package of shredded cheese?
78 = -2(m + 3) + m
a)-42
b)-72
c)-84
d)-28
Answer:
78= -2m-6+m
78= -m-6
78+6= -m
84= -m
m= -84 Answer( C)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
distribute the parenthesis and simplify
78 = - 2m - 6 + m
78 = - m - 6 ( add 6 to both sides )
84 = - m ( multiply both sides by - 1 )
- 84 = m ⇒ m = - 84 → c
Write the equation of a line
in slope intercept form that
has slope of 6 and
y-intercept of ½.
HELP QUICK IM GIVING 21 POINTS AND A BRAINLIEST AWARD
Peter had a 12:00 noon appointment that was 60 miles from his home. He drove from his home at an average rate of 40 miles per hour and arrived 15 mins late. At what time did Peter leave home
Answer:
10:45
Step-by-step explanation:
v...speed = 40 mph
s...distance = 60
t...time
if he was 15 min late he arrived at 12:15
v=s/t => t=s/v
t = 60/40 = 1.5 h = 1h and 30 min
if he arrived at 12:15 and he was driving for an hour and a half just substract
12:15 - 1:30 = 11:15 - 0:30 = 10:45
he left at 10 45
Kylie can afford a $1310-per-month house loan payment. If she is being offered a 25-year house loan with an APR of 8.4%, compounded monthly, which of these expressions represents the most money she can borrow?
Answer:
The most money she can borrow is $48478.7
Step-by-step explanation:
We are given
Kylie can afford a $1310-per-month house loan payment
so,
PMI=1310
t=25 years
n=12
APR=8.4%=0.084
So,
total money =(PMI)*t*n
[tex]A=1310\times 12\times 25[/tex]
[tex]A=393000[/tex]
now, we can use formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
we can plug values
[tex]393000=P(1+\frac{0.084}{12})^{12\times 25}[/tex]
now, we can solve for P
so, we get
[tex]P=\frac{393000\times \:12^{300}}{12.084^{300}}[/tex]
[tex]P=48478.7[/tex]
So,
The most money she can borrow is $48478.7
Answer:
The is ($1310)((1+0.007)^300-1)/(0.007)(1+0.007)^300
Step-by-step explanation:
complete the table to find the missing angle measures
Answer:
see explanation
Step-by-step explanation:
∠RHC = 145° ( given )
∠JHK = 145° ( vertical to ∠RHC )
∠RHJ = 180° - 145° = 35° ( straight angle )
∠CHK = 35° ( vertical or straight )
∠HKS = 35° ( alternate to ∠CHK )
∠SKU = 145° ( straight angle )
∠OKU = 35° ( vertical or straight )
∠HKO = 145° (vertical to ∠SKU )
Help me with 1-8 please!
Answer:
Step-by-step explanation:
1) 144 x $12 = $1728.00
2) $10 x 2 = $20 $20 x 3 = $60 $30 x 2 = 60; $20+$60+$60 = $140
3) $350 - $234 = $116.00
4) $225 ÷ $15 = 15 lawns will need to be cut
5) 2/4 = 1/2 = .50 = 50% B
6) 0.99 + 1.19 + 1.50 + 0.99 = $4.67
7) B 90 seconds is = 1 minutes and 30 seconds (1 minute = 60 seconds)
8) 4 weeks x 5 nights = 20 nights of studying
20 nights x 30 minutes = 600 minutes
600 minutes ÷ 60 (minutes in an hour) = 10 hours of studying D
I need help on this question.
Let's go:
[tex]x^2 = [- 6 - (- 10)]^2 + [- 1 - (- 3)]^2 \\\ x^2 = 16^2 + 4^2 \\\ x^2 = 256 + 16 \\\ x^2 = 272 \\\ x = \sqrt{272} \\\ x = 16,5[/tex]
I hope I helped you.
Use the distance formula
d= square root of [(x-x)^2+(y-y)^2]
Step-by-step explanation:
d= sq. root of [(10-(-6))^2+(-1-3)^2]
= sq. root of [16^2 + (-4)^2]
= sq root of (256+16)
= sq root of 272 or 4.7
Add 6 and 8. Then, multiply by 2.
Which of the following expressions matches the statement above?
A.8 + 6 × 2
B.6 + 8 × 2
C.2 × (6 + 8)
D.6 × (2 + 8)
Answer:
C. 2 x (6 + 8)
Step-by-step explanation:
If you are trying to add before you multiply, you have to put a parantheses. This way, you would add 6 + 8 first, then multiply it by 2.
factor
[tex]x^{2} -2x[/tex]
Answer:
x(x -2)
Step-by-step explanation:
The given expression is [tex]x^{2} - 2x[/tex]
Here "x" is the common factor, we can take it out and write the remaining terms in parenthesis.
x(x - 2)
So the factors are x and (x-2)
Thank you.
I really don't understand.
Boxes of Sticky Fingers popsicles are $4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon? PLEASE HELP!!!!!!!
Answer:
The price of the popsicles are $3.15 with the coupon
Step-by-step explanation:
To find the price of the item, we need to find the discount
discount = price * percentage off
discount = 4.5 *.3
discount =1.35
New price = original price- discount
new price = 4.5 - 1.35
new price = 4.5 -1.35
new price = 3.15
The price of the popsicles are $3.15 with the coupon
I also need help with this one
Need help, WILL GIVE BRAINLIEST!!!
Part A: x=2
This would make both perimeters equal to 24.
Part B: No solution.
You cannot make x equivalent to anything but 2, or the square would not be real. All four sides of the square must equal 6. This would make the area 36 units squared. If x was 2 for the rectangle, the area would be 20. It is impossible to make them equal. Tell me if I'm wrong, though.
Two figures represent a translation
You move figure 5 to figure 7. You move 4 units right and 8 units up.
Describing the transformation in the figure
From the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we have:
Figures 5 and 7 have the same size, orientation and the same shape
This means that both figures can be translated
In this case, it is:
You move figure 5 to figure 7. You move 4 units right and 8 units up.
Find the first four terms of the recursive sequence: a1 = 8 and an = an-1+n.
Answer:
a1 = 8
a2 =10
a3 = 13
a4 = 17
Step-by-step explanation:
The first term is a1 = 8
The second term is a2 = a1 + n
= 8+2
= 10
The third term is a3 = a2 + n
= 10+3
= 13
The fourth term is a4 = a3 + n
= 13+4
= 17
help.‼️ its rlly hard
Answers:
Rent = 750
Savings = 750
Groceries = 625 (you are correct)
Other = 375
========================================
Explanation:
Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.
Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750
For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.
You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.
Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375
As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.
Answer:
Rent: $750
Savings: $750
Groceries: $625
Other: $375
Step-by-step explanation:
I used the formula: Part/Whole = Percent/100
So for the first two, since they are the same, I did x for the part, 2,500 for the whole, 30 for the percent, and 100. Then I did 30 times 2,500 and I got 75,000. Next I did 75,000 divided by 100 and got 750.
For "Groceries", I did the same thing except used x for the part, 2,500 for the whole, 25 for the percent, and 100.
For "Other", I did the same thing except used x for the part, 2,500 for the whole, 15 for the percent, and 100.
HOPE THIS HELPS! :)
Brianna has saved $32. 1/4 of the $ she earned from babysitting. How much $ did she earn babysitting?
Based on proportional standards, if $32 represents 1/4 of Brianna's total earnings from babysitting, then she earned a total of $128.
Explanation:From the amount Brianna saved, we know that $32 represents 1/4 or 25% of the total amount she earned from babysitting. If $32 is a quarter of the total amount, then we can find the total amount by multiplying $32 by 4. This is because 1 divided by 1/4 is equal to 4. So, Brianna earned a total of $32 x 4 = $128 from babysitting. This is the solution to the problem referred to as proportional reasoning. It involves understanding the concept of fractions and simple multiplication.
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find value of x (5x) (3x + 28)
Final answer:
The question as posed does not provide a complete equation to solve for x. One would need to either expand the expression using distributive property or solve for x if it were part of an equation set to zero. Additional information is required to provide a definitive value for x.
Explanation:
The question appears to ask for the value of x when multiplied by the expression (5x)(3x + 28), however, it is incomplete as there is no equation to solve (i.e., no equals sign followed by a number). If you are meant to expand the expression, you would apply the distributive property to multiply 5x by both terms inside the parentheses, giving 15x^2 + 140x.
If the intention was to solve for x given an equation like (5x)(3x + 28) = 0, then you would set each factor to zero: 5x = 0 and 3x + 28 = 0. Solving these would give you x = 0 and x = -28/3 as the solutions.
Without a complete equation, we cannot definitively solve for the value of x. If additional information is provided or if you have a specific equation involving (5x)(3x + 28), please provide that for further assistance.
If triangle XYZ’s points are X (-2, 1), Y (-4,-3), and Z (0,-2) what are the new coordinates of X’, Y’, and Z’ if the triangle is transformed using the rule (x - 1, y + 3) to form triangle X’Y’Z’.
Answer:
The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
Step-by-step explanation:
The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).
It is given that the triangle translated by rule
[tex](x,y)\rightarrow (x-1,y+3)[/tex]
The coordinates of image of XYZ are
[tex]X(-2,1)\rightarrow X'(-2-1,1+3)[/tex]
[tex]X(-2,1)\rightarrow X'(-3,4)[/tex]
[tex]Y(-4,-3)\rightarrow Y'(-4-1,-3+3)[/tex]
[tex]Y(-4,-3)\rightarrow Y'(-5,0)[/tex]
[tex]Z(0,-2)\rightarrow Z'(0-1,-2+3)[/tex]
[tex]Z(0,-2)\rightarrow Z'(-1,1)[/tex]
Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
need some HELP!!!!!
will gave points!(18 points)
what is the best estimate for the answer to 552.17-48.35?
round each number to the nearest tenth.
Answer:
503.7 is the best estimate when rounding each number to the nearest tenth.
Step-by-step explanation:
Round 552.17 and 48.35 to the nearest tenth. That gives us 552.1 and 48.4 (because 5 makes the number round up). Subtract that, and it gives us 503.7.
Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?
The correct substitution of the values a, b, and c from the given equation into the quadratic formula is a = 1, b = -1, and c = -2, resulting in the formula x = [1 ± √(1 - 4(1)(-2))] / 2.
For the equation –2 = –x + x² – 4, we need to rewrite it in the standard quadratic equation form ax² + bx + c = 0.
First, rearrange the terms to get x² – x – 4 – (–2) = 0, which simplifies to x² – x – 2 = 0. Here, a = 1, b = -1, and c = -2.
Using the quadratic formula, x = [-b ± √(b2 - 4ac)] / 2a, we substitute a, b, and c:
a = 1b = -1c = -2Ralph Kramer ingested $11,000 in a certificate of deposit for 1 year. The certificate earns interest at an annual rate of 5.75 percent compounded daily. The amount per $1.00 is 1.059180. What is the effective annual yield? Show work
Answer:
5.91%
Step-by-step explanation:
We are given an investment deposited fro 1 year compounded daily at an annual interest rate of 5.75%.
Compounding period per year, n: 365
The effective annual yield can be calculated by the following formula:
Effective Annual Yield = [tex] (1+\frac{r}{n})^{n}-1[/tex]
where n = 365
Interest rate, r= 5.75% = 0.0575
[tex]=(1+\frac{0.0575 }{365})^{365}-1[/tex]
= 0.059
The annual effective yield is 5.91%
Find the measure of the angle
Answer:
? = 113
Step-by-step explanation:
The angles are alternate interior angles. Alternate interior angles are equal if the lines are parallel. Since the lines are parallel, the angles are equal.
? = 113
Tickets for a choir concert cost $3 for students and $5 for adults. The choir director wants to sell at least $1500 worth of tickets to this concert. She knows that 226 students purchased a ticket. Enter the minimum number of adults that need to purchase a ticket to raise at least $1500.
Answer: 164.4 or 165
Step-by-step explanation: So, you do 226 x 3 and you get $678. So now that you know that you have $678 worth of student tickets, you want to find how much more you need for the adult tickets, so you do $1500-$678, and you get $822. Divide it by 5 and you get 164.4, so you wanna sell about 165 tickets. Check your work by multiplying 5 by 165 and you get $825, which meets your $1500 minimum
After calculating the revenue already obtained from the student tickets sold, the remaining revenue needed to reach $1500 is found. This amount is divided by $5 (the cost of an adult ticket) to find the minimum number of adult tickets needed. Since you can't sell fractions of tickets, we round up to the next whole number, which is 165 adult tickets.
Explanation:The first step to solve this problem is to calculate how much revenue has already been raised from the student tickets sold, which is $3 x 226 = $678. Then subtract this amount from the total revenue target of $1500, which gives $1500 - $678 = $822.
The choir director now needs to raise $822 from selling adult tickets. As each adult ticket costs $5, we can calculate the minimum number of adult tickets that need to be sold by dividing the amount of revenue needed by the price of an adult ticket. This is $822 / $5 = 164.4.
Since you can't sell .4 of a ticket, we'll need to round up to the next whole number, giving a minimum of 165 adult tickets that need to sell in order to reach the revenue target.
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Whats the volume of a cube shaped box with edges 6 centimeters in length
The Answer: V=216cm³
Answer:
The volume of a cube shaped box with edges 6 centimeters in length is 216
Step-by-step explanation:
volume is
Width • Length • Height
The cube's width is 6 centimeters, it's length is 6 centimeters, and it's height is 6 centimeters.
6 • 6 • 6 = 216
Rose blew h bubbles in two hours. Which algebraic expressions shows how many bubbles she blew in one minute?
Answer:
I believe it is 2 / h = the amount she blew in 1 minute. Hope this helps
Answer:
h / 120
Step-by-step explanation:
2 hours equals 120 minutes.
So h bubbles in 120 minutes is h/120 per minute.
Verification: suppose she blew 240 bubbles in two hours; this would be 240/120 = 2 per minute. That makes 120 per hour and, as expected, 240 in two hours.
16 less than a number equals -19. What is the number? PLS HELP (6TH GRADE MATH)
Answer:
-3
Step-by-step explanation:
-3-16=-19
-19+16=-3
Answer:
-3
Step-by-step explanation:
what is the rule for crossing both the x and y axis
Answer:
if the x-axis and y-axis is keeping the same numbers of its value , then it should be crossing the x then to the y axis . if the x-axis and y-axis is not kept in the same number , for instance , (-8 , 4 ) (8 , 6 ) then , It should be crossing the y- axis .
Step-by-step explanation: